1. **State the problem:** We are given a frequency table showing how many musical instruments some students play, and we need to find the median number of instruments played.
2. **Understand the data:** The table is:
| Number of instruments | Frequency |
|-----------------------|-----------|
| 0 | 3 |
| 1 | 2 |
| 2 | 2 |
| 3 | 4 |
3. **Calculate total number of students:**
$$3 + 2 + 2 + 4 = 11$$
4. **Find the median position:** Since there are 11 students, the median is the value at position
$$\frac{11 + 1}{2} = 6$$
5. **Locate the median in the cumulative frequency:**
- Instruments 0: positions 1 to 3
- Instruments 1: positions 4 to 5
- Instruments 2: positions 6 to 7
- Instruments 3: positions 8 to 11
The 6th position falls in the group with 2 instruments.
6. **Conclusion:** The median number of musical instruments played is **2**.
Median Instruments 505Da6
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